If A=⎡⎢⎣11−12033−12⎤⎥⎦,B=⎡⎢⎣1302−14⎤⎥⎦ and C=[123−420−21], find A(BC),(AB)C and show that (AB)C=A(BC).

If A=⎡⎢⎣11−12033−12⎤⎥⎦,B=⎡⎢⎣1302−14⎤⎥⎦ a

1.	If A=⎡⎢⎣11−12033−12⎤⎥⎦,B=⎡⎢⎣1302−14⎤⎥⎦ and C=[123−420−21], find A(BC),(AB)C and show that (AB)C=A(BC).
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & - 1 2 & 0 & 3 3 & - 1 & 2 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 0 & 2 - 1 & 4 \end{matrix} ⎤ ⎥ ⎦$ and $C = [\begin{matrix} 1 & 2 & 3 & - 4 2 & 0 & - 2 & 1 \end{matrix}]$ , find $A (B C), (A B) C$ and show that $(A B) C = A (B C) .$

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If A=⎡⎢⎣11−12033−12⎤⎥⎦,B=⎡⎢⎣1302−14⎤⎥⎦ and C=[123−420−21], find A(BC),(AB)C and show that (AB)C=A(BC).

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